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Finding the Fourth Proportional to 16,180.65, 22,329 and 9,107.01

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Solution

The fourth proportional to 16,180.65, 22,329 and 9,107.01 is: 12,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.65 : 22,329 = 9,107.01 : x
  2. Step 2: Convert to fraction form
    16,180.65/22,329 = 9,107.01/x
  3. Step 3: Cross multiply
    16,180.65x = 22,329 × 9,107.01
  4. Step 4: Simplify right side
    16,180.65x = 203,350,426.29
  5. Step 5: Solve for x
    x = 203,350,426.29/16,180.65
  6. Step 6: Final answer
    x = 12,567.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.